Dont listen to the people that comment about not making your engine. Making one is a great learning excersise and highly recomended to become a better developer.

I recomend you make sure your C++ is on point, and check this books:

Game Engine Architecture Link : Overview of more or less anything about how a entire game engine works. Written by a lead at Naughty Dog and highly educational.
Opengl Superbible Link : The best way to learn OpenGL (a graphics API). You can follow this book to learn how to draw stuff in 3d.
Real Time Rendering Link : Amazing book about GPU graphics. Its API agnostic, and very in-depth. Explains techniques and effects.

If you dont want to do the 3d route, you can just do 2d games using the libraries SFML or SDL. SFML is easier to use, for C++, while SDL is a lot more C oriented and runs literally anywhere (including things like nintendo DS or PS4). With those you can try to make some simple games like Snake, which is a great learning project.

If you are inexperienced, try to avoid OOP designs (do not use inheritance). It will just make things more complicated than they should.

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